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We extend the WKB method for the computation of cosmological perturbations during inflation beyond leading order and provide the power spectra of scalar and tensor perturbations to second order in the slow-roll parameters. Our method does…

General Relativity and Quantum Cosmology · Physics 2009-11-11 R. Casadio , F. Finelli , M. Luzzi , G. Venturi

Predicting phenomena that mix few-photon quantum optics with strong field nonlinear optics is hindered by the use of separate theoretical formalisms for each regime. We close this gap with a unified effective field theory valid for…

Optics · Physics 2025-12-30 Xiaochen Liu , Ken-Tye Yong

The whole picture of gauge theory is described by manifolds, while the field equation provides only a part (a section) of the manifold. Just as a three-dimensional object is reconstructed from two planar images, a monopole is constructed by…

High Energy Physics - Theory · Physics 2023-12-21 Tomohiro Matsuda

We study the probability distribution of the number of particle and antiparticle pairs produced via the Schwinger effect when a uniform but time-dependent electric field is applied to noninteracting scalars or spinors initially at a…

High Energy Physics - Theory · Physics 2021-09-08 Yusuke Nishida

Improved Wentzel-Kramers-Brillouin (WKB)-type approximations are presented in order to study cosmological perturbations beyond the lowest order. Our methods are based on functions which approximate the true perturbation modes over the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Roberto Casadio , Fabio Finelli , Mattia Luzzi , Giovanni Venturi

We investigate the nonperturbative process of vacuum pair production in a combination of two counterpropagating linearly polarized laser pulses of a finite spatial extent. By means of the locally-constant field approximation (LCFA), we…

High Energy Physics - Phenomenology · Physics 2025-05-14 A. G. Tkachev , I. A. Aleksandrov , V. M. Shabaev

In this paper, we show how classical statistical field theory techniques can be used to efficiently perform the numerical evaluation of the non-perturbative Schwinger mechanism of particle production by quantum tunneling. In some…

High Energy Physics - Phenomenology · Physics 2013-08-09 F. Gelis , N. Tanji

We present a new methodology, based on the WKB approximation and Fast Fourier Transforms, for the evaluation of wave propagation through inhomogeneous media. This method can accurately resolve fields containing caustics, while still…

Computational Physics · Physics 2024-03-05 Oscar P. Bruno , Martin D. Maas

In this paper, we use the WKB approximation method to approximately solve a deformed Schrodinger-like differential equation: $\left[ -\hbar^{2} \partial_{\xi}^{2}g^{2}\left( -i\hbar\alpha\partial_{\xi}\right) -p^{2}\left( \xi\right) \right]…

General Relativity and Quantum Cosmology · Physics 2017-01-19 Bochen Lv , Peng Wang , Haitang Yang

The Wigner rotation angle for a particle in a circular motion in the Schwarzschild spacetime is obtained via the Fermi-Walker transport of spinors. Then, by applying the WKB approximation, a possible application of the Fermi-Walker…

Quantum Physics · Physics 2015-05-12 K. Bakke , C. Furtado , A. M. de M. Carvalho

We derive an analytical expression of a Wigner function that approximately describes the time evolution of the one-dimensional motion of a particle in a nonharmonic potential. Our method involves two exact frame transformations, accounting…

Path integral derivations are presented for two recently developed complex trajectory techniques for the propagation of wave packets, Complex WKB and BOMCA. Complex WKB is derived using a standard saddle point approximation of the path…

Quantum Physics · Physics 2013-05-29 Jeremy Schiff , Yair Goldfarb , David J. Tannor

We investigate deviations from the plane wave model in the interaction of charged particles with strong electromagnetic fields. A general result is that integrability of the dynamics is lost when going from lightlike to timelike or…

High Energy Physics - Theory · Physics 2016-10-05 Thomas Heinzl , Anton Ilderton , Ben King

The supersymmetry based semiclassical method (SWKB) is known to produce exact spectra for conventional shape invariant potentials. In this paper we prove that this exactness follows from their additive shape invariance.

Quantum Physics · Physics 2020-08-26 Asim Gangopadhyaya , Jeffry V. Mallow , Constantin Rasinariu , Jonathan Bougie

Particle production from an expanding classical color electromagnetic field is extensively studied, motivated by the early stage dynamics of ultra-relativistic heavy ion collisions. We develop a formalism at one-loop order to compute the…

Nuclear Theory · Physics 2017-08-03 Hidetoshi Taya

We review the closed time path formalism of Schwinger using a path integral approach. We apply this formalism to the study of pair production from strong external fields as well as the time evolution of a nonequilibrium chiral phase…

High Energy Physics - Theory · Physics 2007-05-23 Fred Cooper

In the conventional scenario, the Hawking radiation is believed to be a tunneling process at the event horizon of the black hole. In the quantum field theoretic approach the Schwinger's mechanism is generally used to give an explanation of…

High Energy Astrophysical Phenomena · Physics 2015-11-04 Sanchari De , Sutapa Ghosh , Somenath Chakrabarty

We present an effective field theory of multiparticle correlations based on analogy with Ginzburg-Landau theory of superconductivity. With the assumption that the field represents particle density fluctuations, and in the case of…

High Energy Physics - Phenomenology · Physics 2009-09-25 I. Sarcevic , H. -Th. Elze

We show that the leading derivative corrections to the Heisenberg-Euler effective action can be determined efficiently from the vacuum polarization tensor evaluated in a homogeneous constant background field. After deriving the explicit…

High Energy Physics - Theory · Physics 2021-09-13 Felix Karbstein

According to the Schwinger mechanism, a uniform electric field brings about pair productions in vacuum; the relationship between the production rate and the electric field is different, depending on the dimension of the system. In this…

Quantum Physics · Physics 2015-04-29 Kazuhiro Yokota , Nobuyuki Imoto
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